Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team. What do the results tell us?

36, 66, 12, 33, 9, 6, 86, 48, 10, 72, 70

(a) Find the mean.
(Type an integer or a decimal rounded to one decimal place as needed.)

(b) Find the median.
The median is 36.
(Type an integer or a decimal rounded to one decimal place as needed.)

(c) Find the mode.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The mode(s) is(are) .
(Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.)
B. There is no mode.

(d) Find the midrange.
The midrange is 46.
(Type an integer or a decimal rounded to one decimal place as needed.)

(e) What do the results tell us?
A. The midrange gives the average (or typical) jersey number, while the mean and median give two different interpretations of the spread of possible jersey numbers.
B. The jersey numbers are nominal data and they do not measure or count anything, so the resulting statistics are meaningless.
C. The mean and median give two different interpretations of the average (or typical) jersey number, while the midrange shows the spread of possible jersey numbers.
D. Since only 11 of the jersey numbers were in the sample, the statistics cannot give any meaningful results.

The accompanying data are high-density lipoprotein (HDL) cholesterol measurements (mg/dL) from 100 subjects in a health study. Use technology to find the mean and median. Identify the highest value. Does it appear to be an outlier? Do the mean and median change much when that highest value is deleted?

Click the icon to view the HDL data.

Determine the mean of the data set.
mg/dL
(Type an integer or a decimal rounded to one decimal place as needed.)

HDL Data:
44, 49, 51, 54, 61, 139, 63, 52, 63, 42, 40, 42, 49, 78, 47, 72, 39, 56, 64, 43, 69, 57, 48, 57, 47, 48, 56, 61, 54, 91, 66, 37, 39, 29, 66, 68, 76, 36, 49, 58, 54, 52, 66, 61, 37, 59, 57, 69, 54, 53, 50, 44, 43, 86, 43, 43, 35, 46, 38, 51, 62, 65, 41, 31, 44, 34, 41, 94, 47, 59, 30, 72, 42, 37, 48, 56, 65, 52, 63, 33, 54, 35, 40, 62, 39, 63, 45, 42, 53, 53, 43, 45, 78, 53, 62, 46, 26, 88, 82, 65.

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Refer to the data set of body temperatures in degrees Fahrenheit given in the accompanying table and use software or a calculator to find the mean and median. Do the results support or contradict the common belief that the mean body temperature is 98.6°F?

Click the icon for the body temperature data.

The mean of the data set is °F.
(Round to two decimal places as needed.)

Body Temperatures:
96.7, 96.8, 98.5, 97.9, 97.3, 96.6, 96.8, 99.1, 97.4, 98.2, 97.7, 96.7, 98.6, 98.9, 99.5, 99.3, 99.4, 97.9, 98.5, 99.2, 98.1, 97.2, 99.0, 97.2, 96.5, 98.9, 99.2, 96.6, 98.4, 98.0, 98.2, 96.8, 99.4, 98.9, 96.9, 96.8, 98.2, 99.5, 98.3, 98.5, 96.5, 99.0, 97.8, 97.6, 96.8, 98.2, 97.2, 98.2.

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The accompanying data are lengths (inches) of bears. Find the percentile corresponding to 69.5 in.

Click the icon to view the bear length data.

The percentile corresponding to 69.5 in. is .
(Round to the nearest whole number as needed.)

Bear Lengths:
35.5, 36.5, 40.0, 40.0, 41.5, 43.0, 43.5, 46.5, 46.5, 46.5, 48.0, 48.5, 48.5, 49.5, 51.5, 52.0, 52.5, 52.5, 54.0, 57.0, 57.3, 58.5, 58.5, 59.0, 59.5, 60.0, 60.5, 60.5, 60.5, 61.0, 62.0, 62.5, 62.5, 62.5, 63.5, 64.0, 64.0, 64.0, 65.0, 65.5, 66.5, 66.5, 67.5, 68.0, 69.5, 71.0, 71.5, 71.5, 72.0, 72.5, 73.0, 73.5, 74.5, 76.5.

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Fourteen different second-year medical students at a hospital measured the blood pressure of the same person. The systolic readings (mm Hg) are listed below. Use the given data to construct a boxplot and identify the 5-number summary.

137, 123, 135, 143, 120, 125, 120, 130, 143, 128, 140, 140, 148, 150

The 5-number summary is , , , , and , all in mm Hg.
(Use ascending order. Type integers or decimals. Do not round.)

Question

24-12-2023
Mathematics

High School

Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team. What do the results tell us?

36, 66, 12, 33, 9, 6, 86, 48, 10, 72, 70

(a) Find the mean.
(Type an integer or a decimal rounded to one decimal place as needed.)

(b) Find the median.
The median is 36.
(Type an integer or a decimal rounded to one decimal place as needed.)

(c) Find the mode.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The mode(s) is(are) .
(Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.)
B. There is no mode.

(d) Find the midrange.
The midrange is 46.
(Type an integer or a decimal rounded to one decimal place as needed.)

(e) What do the results tell us?
A. The midrange gives the average (or typical) jersey number, while the mean and median give two different interpretations of the spread of possible jersey numbers.
B. The jersey numbers are nominal data and they do not measure or count anything, so the resulting statistics are meaningless.
C. The mean and median give two different interpretations of the average (or typical) jersey number, while the midrange shows the spread of possible jersey numbers.
D. Since only 11 of the jersey numbers were in the sample, the statistics cannot give any meaningful results.

The accompanying data are high-density lipoprotein (HDL) cholesterol measurements (mg/dL) from 100 subjects in a health study. Use technology to find the mean and median. Identify the highest value. Does it appear to be an outlier? Do the mean and median change much when that highest value is deleted?

Click the icon to view the HDL data.

Determine the mean of the data set.
mg/dL
(Type an integer or a decimal rounded to one decimal place as needed.)

HDL Data:
44, 49, 51, 54, 61, 139, 63, 52, 63, 42, 40, 42, 49, 78, 47, 72, 39, 56, 64, 43, 69, 57, 48, 57, 47, 48, 56, 61, 54, 91, 66, 37, 39, 29, 66, 68, 76, 36, 49, 58, 54, 52, 66, 61, 37, 59, 57, 69, 54, 53, 50, 44, 43, 86, 43, 43, 35, 46, 38, 51, 62, 65, 41, 31, 44, 34, 41, 94, 47, 59, 30, 72, 42, 37, 48, 56, 65, 52, 63, 33, 54, 35, 40, 62, 39, 63, 45, 42, 53, 53, 43, 45, 78, 53, 62, 46, 26, 88, 82, 65.

Print Done

Refer to the data set of body temperatures in degrees Fahrenheit given in the accompanying table and use software or a calculator to find the mean and median. Do the results support or contradict the common belief that the mean body temperature is 98.6°F?

Click the icon for the body temperature data.

The mean of the data set is °F.
(Round to two decimal places as needed.)

Body Temperatures:
96.7, 96.8, 98.5, 97.9, 97.3, 96.6, 96.8, 99.1, 97.4, 98.2, 97.7, 96.7, 98.6, 98.9, 99.5, 99.3, 99.4, 97.9, 98.5, 99.2, 98.1, 97.2, 99.0, 97.2, 96.5, 98.9, 99.2, 96.6, 98.4, 98.0, 98.2, 96.8, 99.4, 98.9, 96.9, 96.8, 98.2, 99.5, 98.3, 98.5, 96.5, 99.0, 97.8, 97.6, 96.8, 98.2, 97.2, 98.2.

Print Done

The accompanying data are lengths (inches) of bears. Find the percentile corresponding to 69.5 in.

Click the icon to view the bear length data.

The percentile corresponding to 69.5 in. is .
(Round to the nearest whole number as needed.)

Bear Lengths:
35.5, 36.5, 40.0, 40.0, 41.5, 43.0, 43.5, 46.5, 46.5, 46.5, 48.0, 48.5, 48.5, 49.5, 51.5, 52.0, 52.5, 52.5, 54.0, 57.0, 57.3, 58.5, 58.5, 59.0, 59.5, 60.0, 60.5, 60.5, 60.5, 61.0, 62.0, 62.5, 62.5, 62.5, 63.5, 64.0, 64.0, 64.0, 65.0, 65.5, 66.5, 66.5, 67.5, 68.0, 69.5, 71.0, 71.5, 71.5, 72.0, 72.5, 73.0, 73.5, 74.5, 76.5.

Print Done

Fourteen different second-year medical students at a hospital measured the blood pressure of the same person. The systolic readings (mm Hg) are listed below. Use the given data to construct a boxplot and identify the 5-number summary.

137, 123, 135, 143, 120, 125, 120, 130, 143, 128, 140, 140, 148, 150

The 5-number summary is , , , , and , all in mm Hg.
(Use ascending order. Type integers or decimals. Do not round.)

Answer :

Final answer:

The mean jersey number is 48.9, the median jersey number is 36, there is no mode, and the midrange is 46. These measures provide different insights into the distribution and characteristics of the jersey numbers.

Explanation:

To find the mean, add up all the jersey numbers and divide by the total number of players:

(36 + 66 + 12 + 33 + 9 + 6 + 86 + 48 + 10 + 72 + 70) / 11 = 48.9

The mean is 48.9.

To find the median, arrange the jersey numbers in ascending order:

6, 9, 10, 12, 33, 36, 48, 66, 70, 72, 86

Since there are 11 numbers, the median is the middle value, which is 36.

To find the mode, identify the value(s) that appear most frequently:

There is no value that appears more than once, so there is no mode.

To find the midrange, find the average of the maximum and minimum values:

(86 + 6) / 2 = 46

The midrange is 46.

The results tell us that the mean jersey number is 48.9, the median jersey number is 36, there is no mode, and the midrange is 46. These measures provide different insights into the distribution and characteristics of the jersey numbers.

Learn more about measures of central tendency here:

https://brainly.com/question/12896875

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Answer :

Final answer:

Explanation:

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